At IWR, I have carried out two research projects.
The first project was “Modelling of Dynamical Systems with System of Ordinary Differential Equations.” For this I have taken a benchmark dynamical system which represents the real world problem.
The goal was to approximate the solution with minimum relative error. With the help of two numerical methods (Euler explicit method and Euler Richardson method) I approximated the solution and compared the simulation results. I studied the convergence rate of the two methods and numerically showed the faster convergence of the Euler-Richardson-method over the Explicit-Euler-Scheme.
The second project was ”Numerical Approximation of Derivatives. ” The aim of this project was to approximate the derivative for an unknown function. For this project I have used secant method in two versions (one sided and symmetric difference quotients) to compute the derivative for a benchmark problem. The two sided version of secant method gives the good approximation.
It was a wonderful opportunity to improve my academic skills.
I am very grateful to Dr. Michael Wincker and the entire team for giving me a chance to be a part of Post- Bachelor Program. It was a lifelong memory.